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3 years ago

Solve using elimination

Mathematics

1 answer:

oksian1 [2.3K]3 years ago

5 0

When you’re using elimination you eliminate using like terms so the -2y and +2y are set up to cancel each other out already, and after that since the y’s have been eliminated you can group together the rest of the like terms such as the X’s and non variable numbers, giving you 6x=-18 and after you simplify you end out with X=-3

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While driving your rental car on your trip to Europe, you find that you are getting 12.4 kilometers per liter of gasoline. What

r-ruslan [8.4K]

We know I kilometer = 0.62 miles and 1 liter = 0.26 gallon. Therefore, 12.4 km/liter = 12.4 * 0.62 miles / 0.26 gallon = 29.56 miles/gallon or we can right as aprproximately 30 miles/gallon. Thus, 12.4 km/l corresponds to 30 miles/gallon.

6 0

3 years ago

15 pts + brainliest to right/best answer

asambeis [7]

Split the second term 7x^2 - 8x - 12 into two terms

7x^2 + 6x - 14x - 12

Factor out common terms in the first two terms, then in the last two terms

x(7x + 6) - 2(7x + 6)

Factor out the common term; 7x + 6

(7x + 6)(x - 2)

4 0

3 years ago

Read 2 more answers

In the center of town there is a square park with an area of 900 square feet. If Stephen walks from one corner of the park to th

Vedmedyk [2.9K]

The distance walked by Stephen is 42.42 feet

<h3>Solution:</h3>

Given that In the center of town there is a square park with an area of 900 square feet

Stephen walks from one corner of the park to the opposite corner

To find: Distance walked by Stephen

We need to find the distance that the person walk from one corner of the park to the opposite corner.

So, we need to find the Diagonal of the square park

The diagonal of square is given as:

$\text{ Diagonal } = \sqrt{2} \times \text{ side}$

Let us find the length of side of square

Given area of square = 900 square feet

The area of square is given as:

$area = (side)^2\\\\900 = (side)^2$

Taking square root on both sides,

$side = \sqrt{900} \\\\side = 30$

Thus length of each side of square is 30 feet

Therefore, length of diagonal is given as:

$diagonal = \sqrt{2} \times 30\\\\diagonal = 1.414 \times 30 = 42.42$

Hence, the distance that the person walks 42.42 feet

3 0

3 years ago

What are the solutions of the equation (x-3)2 + 2(x – 3) - 8= 0? Use u substitution to solve.

astraxan [27]

Answer:

x = - 1 and x = 5

Step-by-step explanation:

Given

(x - 3)² + 2(x - 3) - 8 = 0

Let u = x - 3, then

u² + 2u - 8 = 0 ← solve for u

(u + 4)(u - 2) = 0 ← in factored form

Equate each factor to zero and solve for u

u + 4 = 0 ⇒ u = - 4

u - 2 = 0 ⇒ u = 2

Convert back to x, that is

x - 3 = - 4 ( add 3 to both sides ) ⇒ x = - 1

x - 3 = 2 ( add 3 to both sides ) ⇒ x = 5

5 0

3 years ago

Read 2 more answers

Triangle FGH with vertices F(6,6), G(8,8), and H(8,3): (a) Reflection: in the line x = 5 (b) Translation: (x,y)→ (x - 7, y - 9)

irakobra [83]

(a) The vertices after the reflection in the line x = 5 are F'(4,6) , G'(2,8) , H'(2,3) .

and (b) after translation , the vertices are F''(-1,-3) , G'' (1,-1) , H''(1,-6) .

In the question a triangle FGH with vertices F(6,6) , G(8,8) and H(8,3) is given

Part (a)

the rule for reflection of point (x,y) by the line x = p is

(x,y) → (2×p - x , y)

reflection by the line x = 5 ,

we get

the vertices as

$F'$ (2×5-6,6) = (4,6)

G'(2×5-8,8) = (2,8)

H'(2×5 - 8 ,3) = (2,3)

Part (b)

the rule of translation is given as (x,y)→ (x - 7, y - 9)

So , the vertices after translation are

F''(6-7 , 6-9) = (-1,-3)

G''(8-7,8-9) = (1,-1)

H''(8-7,3-9) = (1,-6)

Therefore , (a) The vertices after the reflection in the line x = 5 are F'(4,6)

G'(2,8) , H'(2,3) .

and (b) after translation , the vertices are F''(-1,-3) , G'' (1,-1) , H''(1,-6) .

Learn more about Translation here

brainly.com/question/3456459

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7 0

1 year ago

Solve using elimination ​

Solve using elimination